Pith Number

pith:N7WJ7OYZ

pith:2011:N7WJ7OYZLKUIY77YOEAAFZPLIT

not attested not anchored not stored refs pending

Haag duality and the distal split property for cones in the toric code

Pieter Naaijkens (Radboud University Nijmegen)

arxiv:1106.4171 v2 · 2011-06-21 · math-ph · math.MP · math.OA · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7WJ7OYZLKUIY77YOEAAFZPLIT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Disjoint additivity and local quantum physics

Receipt and verification

First computed	2026-05-18T03:49:10.477627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fec9fbb195aa88c7ff8710002e5eb44e5a22315444943774795cda9c34ad18a

Aliases

arxiv: 1106.4171 · arxiv_version: 1106.4171v2 · doi: 10.48550/arxiv.1106.4171 · pith_short_12: N7WJ7OYZLKUI · pith_short_16: N7WJ7OYZLKUIY77Y · pith_short_8: N7WJ7OYZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/N7WJ7OYZLKUIY77YOEAAFZPLIT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6fec9fbb195aa88c7ff8710002e5eb44e5a22315444943774795cda9c34ad18a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b7b288a2c8d824f2ec98ce13548b646d118d76892de18daad4573836134642",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-21T11:15:03Z",
    "title_canon_sha256": "8445c9d3b12ed5dbac4da6595b5cbd7854bd26d60fcfd70f8adc995410dfe2c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4171",
    "kind": "arxiv",
    "version": 2
  }
}